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Finding the Fourth Proportional to 12,205.43, 16,842.82 and 6,826.83

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Solution

The fourth proportional to 12,205.43, 16,842.82 and 6,826.83 is: 9,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.43 : 16,842.82 = 6,826.83 : x
  2. Step 2: Convert to fraction form
    12,205.43/16,842.82 = 6,826.83/x
  3. Step 3: Cross multiply
    12,205.43x = 16,842.82 × 6,826.83
  4. Step 4: Simplify right side
    12,205.43x = 114,983,039.20
  5. Step 5: Solve for x
    x = 114,983,039.20/12,205.43
  6. Step 6: Final answer
    x = 9,420.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.